Finding the Fourth Proportional to 2,131.10, 3,199.05 and 1,646.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.10 : 3,199.05 = 1,646.30 : x
2. Step 2: Convert to fraction form
   2,131.10/3,199.05 = 1,646.30/x
3. Step 3: Cross multiply
   2,131.10x = 3,199.05 × 1,646.30
4. Step 4: Simplify right side
   2,131.10x = 5,266,596.02
5. Step 5: Solve for x
   x = 5,266,596.02/2,131.10
6. Step 6: Final answer
   x = 2,471.30